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Solve:
[tex]\[
\frac{1}{3}s - 6 \ \textless \ 24
\][/tex]

A. [tex]\(\{s \mid s \ \textless \ 6\}\)[/tex]

B. [tex]\(\{s \mid s \ \textless \ 10\}\)[/tex]

C. [tex]\(\{s \mid s \ \textless \ 90\}\)[/tex]

Sagot :

GinnyAnswer
Let's solve the inequality [tex]\(\frac{1}{3} s - 6 < 24\)[/tex] step-by-step.

### Step-by-Step Solution:

1. Start with the given inequality:

[tex]\[ \frac{1}{3} s - 6 < 24 \][/tex]

2. Isolate the term with [tex]\(s\)[/tex] on one side. To do this, we'll first add 6 to both sides of the inequality:

[tex]\[ \frac{1}{3} s - 6 + 6 < 24 + 6 \][/tex]

Simplify:

[tex]\[ \frac{1}{3} s < 30 \][/tex]

3. Eliminate the fraction by multiplying both sides of the inequality by 3, which is the coefficient of [tex]\(s\)[/tex]:

[tex]\[ 3 \cdot \frac{1}{3} s < 30 \cdot 3 \][/tex]

Simplify:

[tex]\[ s < 90 \][/tex]

4. Write the final solution set.

The solution set of the inequality is:

[tex]\[ \{ s \mid s < 90 \} \][/tex]

### Conclusion:

The correct solution from the given options is:
[tex]\[ \{ s \mid s < 90 \} \][/tex]
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